Solve the problem.
-The number of students in a school in year $n$ is estimated by the model $a_{n}=6 n^{2}+13 n+83$. Write a sequence showing how many students are in the school in each of the first three years.
A) $102,133,176$
B) $108,133,176$
C) $115,146,189$
D) $102,133,158$

Question

Quizplus · Accepted Answer

The sequence for the number of students in the first three years ($n=1,2,3$) can be found by substituting $n$ into the given model $a_{n}=6n^2+13n+83$. For $n=1$, $a_1=6(1)^2+13(1)+83=102$. For $n=2$, $a_2=6(2)^2+13(2)+83=133$. For $n=3$, $a_3=6(3)^2+13(3)+83=176$.

Solve the Problem nnn Is Estimated by the Model an=6n2+13n+83a_{n}=6 n^{2}+13 n+83an​=6n2+13n+83

Solve the Problem $n$ Is Estimated by the Model $a_{n}=6 n^{2}+13 n+83$